A Kolmogorov–Smirnov-type test for the two-sample problem with left-truncated data

Adrián Lago (), Jacobo Uña-Álvarez and Juan Carlos Pardo-Fernández
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Adrián Lago: CITMAga, Universidade de Vigo
Jacobo Uña-Álvarez: CITMAga, Universidade de Vigo
Juan Carlos Pardo-Fernández: CITMAga, Universidade de Vigo

TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, 2025, vol. 34, issue 1, No 4, 69-90

Abstract: Abstract A Kolmogorov–Smirnov-type test for the two-sample problem with left-truncated data is proposed. The asymptotic null distribution of the test statistic and its omnibus consistency are established. A bootstrap resampling plan to approximate the null distribution of the test statistic is introduced. The finite sample performance of the proposed test is investigated through simulations. Comparison to the well-known log-rank test and a real data illustration are included.

Keywords: Bootstrap; Kolmogorov–Smirnov test; Log-rank test; Truncation; Two-sample problem; 62G10; 62N03; 62G20 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s11749-024-00948-4

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